Multiple spark-gap arrester comprising a series connection of a multiplicity of spark gaps (FS1-FSN) between a first potential node (P1) and a reference potential node (0), a trigger circuit (2) with an input, which is coupled to a second potential node (P2) between two adjacent spark gaps (FS2, FS3; FS1, FS2) of the multiplicity of spark gaps (FS1-FSN), and an output (P3), which is coupled to at least one of the spark gaps (FS3-FSN) between the second potential node (P2) and the reference potential node (0), wherein the trigger circuit (2) is designed to provide a trigger signal for the at least one of the spark gaps (FS3-FSN) between the second potential node (P2) and the reference potential node (0) when the spark gap (FS1) or the spark gaps (FS1, FS2) between the first potential node (P1) and the second potential node (P2) is ignited.